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Math·Advanced Math·Nonlinear functions

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$$g(x)=x^2+6x+90$$
The function $g$ is defined by the given equation. Which of the following equivalent forms of the equation displays the minimum value of the function as a constant or coefficient?

A

$g(x)=(x+3{)}^2+81$

B

$g(x)=x^2+2(3x+45)$

C

$g(x)-90=x(x+6)$

D

$g(x)-90=\frac{1}{2}x(2x+12)$